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Finding the Fourth Proportional to 12,470.61, 18,696.12 and 6,546.42

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Solution

The fourth proportional to 12,470.61, 18,696.12 and 6,546.42 is: 9,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.61 : 18,696.12 = 6,546.42 : x
  2. Step 2: Convert to fraction form
    12,470.61/18,696.12 = 6,546.42/x
  3. Step 3: Cross multiply
    12,470.61x = 18,696.12 × 6,546.42
  4. Step 4: Simplify right side
    12,470.61x = 122,392,629.34
  5. Step 5: Solve for x
    x = 122,392,629.34/12,470.61
  6. Step 6: Final answer
    x = 9,814.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.